My equations:

My Graph:

Paragraph:

The Significance of A in my equations includes the alteration of the width in each parabola. For example, in the blue parabola, the value of A in the equation y=a(x-h)^2+k is a fraction. This fraction allows for the parabola to be wider than the equation with no A value or with a whole number as A. The significance of K in my equations includes the adjustment of where my parabola sits on the y axis. For example, in the purple parabola, the value of K is a positive number. This value permits the parabola to sit at y=2, which is shifting it up 2 places on the y axis. The significance of H in my equations includes the adjustment of where my parabola shifts on the x axis. For example, in the orange parabola the value of H is negative 6. This value of H calls for it to sit at x=-6, causing the parabola as a whole to move 6 places to the left from x=0 on my graph.

Reflection:

I represented the same mathematical idea in multiple ways during this assignment by altering my values in the equation f(x)=a(x-h)^2+k to fit the requirements of each parabola. I used the vocabulary shifted, x and y axis, parabola, equation, the value, and adjustment to demonstrate my understanding of chapter 3 so far. My formatting of this assignment is displayed clearly due to me separating each parabola to the extent of where you can see all of the values clearly with no overlaps.

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